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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Bob, of mass m, drops from a tree limb at the same time that Esther, also of mass m, begins her descent down a frictionless slide. If they both start at the same height above the ground, which of the following is true about their kinetic energies as they reach the ground?

(a) Bob's kinetic energy is greater than Esther’s.

(b) Esther’s kinetic energy is greater than Bob’s.

(c) They have the same kinetic energy.

(d) The answer depends on the shape of the slide.

To determine
The statement which is true about the kinetic energy when Esther and Bob reach the ground.

Explanation

Given Info:

Bob and Esther have a same mass m and both of them have zero initial velocity zero.

Since, Bob and Esther have same mass and they started at same initial velocity which is zero; the initial kinetic energy will be the same and zero. Both of them start at the same height. Because of this the initial potential energy of them are same. Sine, Esther did a frictional less slide; all the initial potential energy will be converted to the kinetic energy when they move downward. Therefore, when they hit the ground; both of them will be having a same kinetic energy.

Conclusion:

Since both of them have same initial kinetic and potential energy and not spending the energy in any other way, they will be having same kinetic energy once they reach the ground...

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